ategration by parts formula and explain the e indefinite integrals by using the suggeste f6x 6x cos(x) dx, 12 5 xe -dx, u = x, d u= x, d

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Solve letter (b) for i) integral 6xcos(x) dx and (i) integral xe^x/5 dx using the integration by parts formula.

Scos.
ntegration by Trigonometric Substitution
i.
(a) Write the integration by parts formula and explain the notation used.
b) Evaluate the indefinite integrals by using the suggested substitutions.
ii.
[62
6x cos(x) dx,
I
xex
5
-dx,
(
Las ³
2
(X), 1+ 20260
u = x, dv = cos(x) dx
u = x, dv = e dx
Transcribed Image Text:Scos. ntegration by Trigonometric Substitution i. (a) Write the integration by parts formula and explain the notation used. b) Evaluate the indefinite integrals by using the suggested substitutions. ii. [62 6x cos(x) dx, I xex 5 -dx, ( Las ³ 2 (X), 1+ 20260 u = x, dv = cos(x) dx u = x, dv = e dx
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